SOLUTION: Find the value of x so that the line passing through (-2, 7) and (x, 2) has a slope of -1/3

Algebra ->  Linear-equations -> SOLUTION: Find the value of x so that the line passing through (-2, 7) and (x, 2) has a slope of -1/3      Log On


   

Question 684191: Find the value of x so that the line passing through (-2, 7) and (x, 2) has a slope of -1/3
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
%287-2%29%2F%28-2-x%29+=+-1%2F3
...
5%2F%28-2-x%29+=+-1%2F3
Multiply both sides by (-2-x)
5 = %28-1%2F3%29%28-2-x%29
distribute the -1%2F3
5 = %28-1%2F3%29%28-2%29+-+%28-1%2F3%29%28x%29
...
5 = 2%2F3+%2B+x%2F3
multiply both sides by 3
15 = 2 + x
isolate the x variable
highlight_green%28x+=+13%29
...
check
%287-2%29%2F%28-2-13%29+=+5%2F-15+=+-1%2F3 correct!
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